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Finding the Fourth Proportional to 3,782.03, 5,219.50 and 2,103.58

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Solution

The fourth proportional to 3,782.03, 5,219.50 and 2,103.58 is: 2,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.03 : 5,219.50 = 2,103.58 : x
  2. Step 2: Convert to fraction form
    3,782.03/5,219.50 = 2,103.58/x
  3. Step 3: Cross multiply
    3,782.03x = 5,219.50 × 2,103.58
  4. Step 4: Simplify right side
    3,782.03x = 10,979,635.81
  5. Step 5: Solve for x
    x = 10,979,635.81/3,782.03
  6. Step 6: Final answer
    x = 2,903.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.